45835296 has 96 divisors (see below), whose sum is σ = 136463040. Its totient is φ = 13353984.

The previous prime is 45835289. The next prime is 45835327. The reversal of 45835296 is 69253854.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22746 + ... + 24678.

It is an arithmetic number, because the mean of its divisors is an integer number (1421490).

Almost surely, 2^45835296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45835296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68231520).

45835296 is an abundant number, since it is smaller than the sum of its proper divisors (90627744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45835296 is a wasteful number, since it uses less digits than its factorization.

45835296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1970 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 45835296 is about 6770.1769548513. The cubic root of 45835296 is about 357.8766363334.

The spelling of 45835296 in words is "forty-five million, eight hundred thirty-five thousand, two hundred ninety-six".